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Stabilization of Partial Differential Equations by Sequential Action Control

  • We extend the framework of sequential action control to systems of partial differential equations which can be posed as abstract linear control problems in a Hilbert space. We follow a late-lumping approach and show that the control action can be explicitly obtained from variational principles using adjoint information. Moreover, we analyze the closed-loop system obtained from the SAC feedback for quadratic stage costs. We apply this theory prototypically to an unstable heat equation and verify the results numerically.

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Metadaten
Author:Yan Brodskyi, Falk Hante, Arno Seidel
Document Type:Preprint
Language:English
Date of Publication (online):2019/05/28
Date of first Publication:2019/05/28
Release Date:2019/05/28
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
Humboldt-Universität zu Berlin
Subprojects:A03
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International